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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
2
2
and Q=
F
11
Direct product G=N×Q with N=
C
2
2
and Q=
F
11
d
ρ
Label
ID
C
2
2
×F
11
44
C2^2xF11
440,42
Semidirect products G=N:Q with N=
C
2
2
and Q=
F
11
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊F
11
=
C
2
2
⋊F
11
φ:
F
11
/
C
11
⋊C
5
→
C
2
⊆ Aut
C
2
2
44
10
C2^2:F11
440,11
Non-split extensions G=N.Q with N=
C
2
2
and Q=
F
11
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
.F
11
=
C
2
×C
11
⋊C
20
central extension (φ=1)
88
C2^2.F11
440,10
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⋊
ℤ
𝔽
○
≀
ℚ
◁